Different sets of classical problems require valid CQ or AQ quantizations. For example, a traditional harmonic oscillator, with \(-\infty < p, q<\infty \) , employs CQ, while a half-harmonic oscillator, with \(-\infty < p<\infty \) , but \(0<q<\infty \) , employs AQ [1]}. Partial-harmonic oscillators, with \(-\infty <p<\infty \) , while \(-b< q<\infty \)  and \(0<b<\infty \) , also employ AQ [2]}.
